Geodesic
On a de Branges space related to the Riemann zeta function
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 2, pp. 7-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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In a recent article by V.V. Kapustin a de Branges space, whose element is an expression containing the Riemann xi function, was constructed; the canonical system with a diagonal Hamiltonian and the generalized Fourier transform corresponding to the space were found. In this article we present a similar de Branges space with some preferred modifications and we provide formulas related to it; we also write down the Hamiltonian and the generalized Fourier transform.
Keywords: de Branges space, Riemann xi function, canonical system with diagonal Hamiltonian, generalized Fourier transform. 
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S. A. Badonova. On a de Branges space related to the Riemann zeta function. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 2, pp. 7-11. http://geodesic.mathdoc.fr/item/VSGU_2024_30_2_a0/

[1] Kapustin V.V., “The set of zeros of the Riemann zeta function as the point spectrum of an operator”, St. Petersburg Mathematical Journal, 33:4 (2022), 661–673 (In English; original in Russian) | DOI | MR | MR | Zbl

[2] Romanov R., Canonical systems and de Branges spaces, arXiv: 1408.6022v1